Electronic Theses and Dissertations

Date of Award

1-1-2011

Document Type

Dissertation

Degree Name

M.S. in Mathematics

Department

Mathematics

First Advisor

Erwin Mina Diaz

Second Advisor

Iwo Labuda

Third Advisor

Gerard Buskes

Relational Format

dissertation/thesis

Abstract

Let L be a level curve of the inverse of the shifted Joukowsky transformation w [special characters omitted] w − 1 + (w − 1) –1, that is, [special characters omitted]In this thesis we investigate the asymptotic properties of the sequence of polynomials that are orthonormal over the interior domain of L with respect to the area measure. We establish strong asymptotic formulas describing the behavior of these polynomials (as their degree increases) at every point of the complex plane.

Included in

Mathematics Commons

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